QuestionSolve for $\square$ in the equations: a) $8 \cdot \square=40$ , b) $8+\square=40$ , c) $21 \div \square=7$ , d) $21-\square=7$ , e) $21 \cdot \square=7$ .

Studdy Solution

STEP 1

Assumptions1. In each equation, the symbol $\square$ represents an unknown value that we need to find. . All operations follow the standard order of operations (PEMDAS/BODMAS).

STEP 2

a) To find the value of $\square$ in the equation $8 \cdot \square=40$ , we need to isolate $\square$ . We can do this by dividing both sides of the equation by8.
$\square = \frac{40}{8}$

STEP 3

Calculate the value of $\square$ .
$\square = \frac{40}{8} =5$

STEP 4

b) To find the value of $\square$ in the equation $8+\square=40$ , we need to isolate $\square$ . We can do this by subtracting8 from both sides of the equation.
$\square =40 -8$

STEP 5

Calculate the value of $\square$ .
$\square =40 -8 =32$

STEP 6

c) To find the value of $\square$ in the equation $21 \div \square=$ , we need to isolate $\square$ . We can do this by dividing21 by.
$\square = \frac{21}{}$

STEP 7

Calculate the value of $\square$ .
$\square = \frac{21}{7} =3$

STEP 8

d) To find the value of $\square$ in the equation $21-\square=7$ , we need to isolate $\square$ . We can do this by subtracting7 from21.
$\square =21 -7$

STEP 9

Calculate the value of $\square$ .
$\square =21 -7 =14$

STEP 10

e) To find the value of $\square$ in the equation $21 \cdot \square=7$ , we need to isolate $\square$ . We can do this by dividing7 by21.
$\square = \frac{7}{21}$

STEP 11

Calculate the value of $\square$ .
$\square = \frac{7}{21} = \frac{}{3}$ So, the solutions area) $\square =5$ b) $\square =32$ c) $\square =3$ d) $\square =14$ e) $\square = \frac{}{3}$

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QuestionSolve for $\square$ in the equations: a) $8 \cdot \square=40$ , b) $8+\square=40$ , c) $21 \div \square=7$ , d) $21-\square=7$ , e) $21 \cdot \square=7$ .

Studdy Solution

STEP 1

Assumptions1. In each equation, the symbol $\square$ represents an unknown value that we need to find. . All operations follow the standard order of operations (PEMDAS/BODMAS).

STEP 2

a) To find the value of $\square$ in the equation $8 \cdot \square=40$ , we need to isolate $\square$ . We can do this by dividing both sides of the equation by8.
$\square = \frac{40}{8}$

STEP 3

Calculate the value of $\square$ .
$\square = \frac{40}{8} =5$

STEP 4

b) To find the value of $\square$ in the equation $8+\square=40$ , we need to isolate $\square$ . We can do this by subtracting8 from both sides of the equation.
$\square =40 -8$

STEP 5

Calculate the value of $\square$ .
$\square =40 -8 =32$

STEP 6

c) To find the value of $\square$ in the equation $21 \div \square=$ , we need to isolate $\square$ . We can do this by dividing21 by.
$\square = \frac{21}{}$

STEP 7

Calculate the value of $\square$ .
$\square = \frac{21}{7} =3$

STEP 8

d) To find the value of $\square$ in the equation $21-\square=7$ , we need to isolate $\square$ . We can do this by subtracting7 from21.
$\square =21 -7$

STEP 9

Calculate the value of $\square$ .
$\square =21 -7 =14$

STEP 10

e) To find the value of $\square$ in the equation $21 \cdot \square=7$ , we need to isolate $\square$ . We can do this by dividing7 by21.
$\square = \frac{7}{21}$

STEP 11

Calculate the value of $\square$ .
$\square = \frac{7}{21} = \frac{}{3}$ So, the solutions area) $\square =5$ b) $\square =32$ c) $\square =3$ d) $\square =14$ e) $\square = \frac{}{3}$

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QuestionSolve for □\square□ in the equations: a) 8⋅□=408 \cdot \square=408⋅□=40, b) 8+□=408+\square=408+□=40, c) 21÷□=721 \div \square=721÷□=7, d) 21−□=721-\square=721−□=7, e) 21⋅□=721 \cdot \square=721⋅□=7.

Studdy Solution

STEP 1

Assumptions1. In each equation, the symbol □\square□ represents an unknown value that we need to find. . All operations follow the standard order of operations (PEMDAS/BODMAS).

STEP 2

a) To find the value of □\square□ in the equation 8⋅□=408 \cdot \square=408⋅□=40, we need to isolate □\square□. We can do this by dividing both sides of the equation by8.□=408\square = \frac{40}{8}□=840​

STEP 3

Calculate the value of □\square□.□=408=5\square = \frac{40}{8} =5□=840​=5

STEP 4

b) To find the value of □\square□ in the equation 8+□=408+\square=408+□=40, we need to isolate □\square□. We can do this by subtracting8 from both sides of the equation.□=40−8\square =40 -8□=40−8

STEP 5

Calculate the value of □\square□.□=40−8=32\square =40 -8 =32□=40−8=32

STEP 6

c) To find the value of □\square□ in the equation 21÷□=21 \div \square=21÷□=, we need to isolate □\square□. We can do this by dividing21 by.□=21\square = \frac{21}{}□=21​

STEP 7

Calculate the value of □\square□.□=217=3\square = \frac{21}{7} =3□=721​=3

STEP 8

d) To find the value of □\square□ in the equation 21−□=721-\square=721−□=7, we need to isolate □\square□. We can do this by subtracting7 from21.□=21−7\square =21 -7□=21−7

STEP 9

Calculate the value of □\square□.□=21−7=14\square =21 -7 =14□=21−7=14

STEP 10

e) To find the value of □\square□ in the equation 21⋅□=721 \cdot \square=721⋅□=7, we need to isolate □\square□. We can do this by dividing7 by21.□=721\square = \frac{7}{21}□=217​

STEP 11

Calculate the value of □\square□.□=721=3\square = \frac{7}{21} = \frac{}{3}□=217​=3​So, the solutions area) □=5\square =5□=5 b) □=32\square =32□=32 c) □=3\square =3□=3 d) □=14\square =14□=14 e) □=3\square = \frac{}{3}□=3​

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QuestionSolve for $\square$ in the equations: a) $8 \cdot \square=40$ , b) $8+\square=40$ , c) $21 \div \square=7$ , d) $21-\square=7$ , e) $21 \cdot \square=7$ .

Assumptions1. In each equation, the symbol $\square$ represents an unknown value that we need to find. . All operations follow the standard order of operations (PEMDAS/BODMAS).

a) To find the value of $\square$ in the equation $8 \cdot \square=40$ , we need to isolate $\square$ . We can do this by dividing both sides of the equation by8.
$\square = \frac{40}{8}$

Calculate the value of $\square$ .
$\square = \frac{40}{8} =5$

b) To find the value of $\square$ in the equation $8+\square=40$ , we need to isolate $\square$ . We can do this by subtracting8 from both sides of the equation.
$\square =40 -8$

Calculate the value of $\square$ .
$\square =40 -8 =32$

c) To find the value of $\square$ in the equation $21 \div \square=$ , we need to isolate $\square$ . We can do this by dividing21 by.
$\square = \frac{21}{}$

Calculate the value of $\square$ .
$\square = \frac{21}{7} =3$

d) To find the value of $\square$ in the equation $21-\square=7$ , we need to isolate $\square$ . We can do this by subtracting7 from21.
$\square =21 -7$

Calculate the value of $\square$ .
$\square =21 -7 =14$

e) To find the value of $\square$ in the equation $21 \cdot \square=7$ , we need to isolate $\square$ . We can do this by dividing7 by21.
$\square = \frac{7}{21}$

Calculate the value of $\square$ .
$\square = \frac{7}{21} = \frac{}{3}$ So, the solutions area) $\square =5$ b) $\square =32$ c) $\square =3$ d) $\square =14$ e) $\square = \frac{}{3}$